Orthogonally blocked mixture designs for Darroch and Waller model
Singh (2003) gave conditions and constructed optimal orthogonally blocked designs for Darroch and Waller quadratic model. Aggarwal et al. (2008) constructed optimal orthogonally blocked designs based on F-squares for Darroch and Waller quadratic model. Prescott (2000, 2004) has used augmented pair designs for the projection of response surface designs onto mixture space and obtained orthogonally blocked designs. In this paper, we have used definitive screening designs given by Jones and Nachtsheim (2011), Xiao et al. (2012), Nguyen and Stylianou (2012) and Phoa and Lin (2013) and obtained designs for mixture experiments. These designs are space filling designs as compared to the traditional designs. This paper explores the fitting of Darroch and Waller quadratic model to these mixture designs and compares them on the basis of uniformity and D-, A- and G- efficiency. These designs can also be orthogonally blocked.
International Journal of Agricultural and Statistical Sciences
Aggarwal, M., Singh, P., Sarin, V., & Goel, R. (2018). Orthogonally blocked mixture designs for Darroch and Waller model. International Journal of Agricultural and Statistical Sciences, 14 (1), 239-250. Retrieved from https://digitalcommons.memphis.edu/facpubs/5416